38199 has 16 divisors (see below), whose sum is σ = 62208. Its totient is φ = 20352.

The previous prime is 38197. The next prime is 38201. The reversal of 38199 is 99183.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38197) and next prime (38201).

It is not a de Polignac number, because 38199 - 2¹ = 38197 is a prime.

It is a plaindrome in base 8 and base 11.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38199.

It is not an unprimeable number, because it can be changed into a prime (38197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304 + ... + 410.

It is an arithmetic number, because the mean of its divisors is an integer number (3888).

2³⁸¹⁹⁹ is an apocalyptic number.

38199 is a deficient number, since it is larger than the sum of its proper divisors (24009).

38199 is a wasteful number, since it uses less digits than its factorization.

38199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134.

The product of its digits is 1944, while the sum is 30.

The square root of 38199 is about 195.4456446176. The cubic root of 38199 is about 33.6783390345.

It can be divided in two parts, 3819 and 9, that added together give a triangular number (3828 = T₈₇).

The spelling of 38199 in words is "thirty-eight thousand, one hundred ninety-nine".